Question

A battery-driven Percy engine goes around a track (radius 24 cm) in 68 seconds. What is its angular speed?

A) 0.003 radians/s
B) 0.006 radians/s
C) 0.009 radians/s
D) 0.012 radians/s

Answer 1

The angular speed of the battery-driven Percy engine around the track is approximately 0.012 radians/s.

Step-by-step explanation:

To find the angular speed of the Percy engine, we need to convert the time it takes to complete one revolution into radians per second. The formula to calculate the angular speed is given by:

Angular speed = 2π / time period

Given that the radius of the track is 24 cm, the circumference of the track is 2π * 24 = 48π cm. The time period is 68 seconds. Substituting these values into the formula, we get:

Angular speed = (2π * 24) / 68

Angular speed = (48π) / 68 ≈ 0.71 radians/s

Therefore, the answer is option D) 0.012 radians/s.